Find the circumcenter of the triangle. A triangle is plotte…

Find the circumcenter of the triangle. A triangle is plotted on a coordinate grid. The x-axis spans from negative six to five, and the y-axis spans from negative four to six, both marked at intervals of one. The triangle’s vertices are at (negative 3, 3), (negative 3, negative 2), and (1, negative 2). The left side is a vertical segment from (negative 3, 3) to (negative 3, negative 2). The bottom side is a horizontal segment from (negative 3, negative 2) to (1, negative 2). The diagonal side, forming the hypotenuse, connects (1, negative 2) to (negative 3, 3).

Which postulate or theorem, if any, could you use to show th…

Which postulate or theorem, if any, could you use to show the two triangles are congruent?  Two triangles intersect at a central vertex, forming a crisscross, slanted hourglass shape. The triangle on the left points to the right, and the triangle on the right points to the left. An interior angle is marked with an arc at the bottom left vertex of the left triangle and at the top right vertex of the right triangle. A tick mark appears on the bottom slanted side of the left triangle and the top slanted side of the right triangle, indicating that these two sides are congruent. All segments are drawn with bold black lines.

has medians , , and .  If inches, and  inches, find x. Tri…

has medians , , and .  If inches, and  inches, find x. Triangle ABC has vertex B at the top and base AC at the bottom. Medians AE, BF, and CD are drawn from each vertex to the midpoint of the opposite side, intersecting at point P. Tick marks indicate that segments AD and DB, BE and EC, and AF and FC are equal, confirming that points D, E, and F are midpoints. The medians divide the triangle into six smaller triangles, all meeting at point P, the centroid. The triangle ABC is outlined in black, the medians are drawn in blue, and points A and E are highlighted in purple. [answer0] inches

Find the length of one of the legs. The right triangle is o…

Find the length of one of the legs. The right triangle is oriented with a horizontal base at the top, a vertical leg on the right, and a hypotenuse slanting downward from the top left to the bottom right. A right angle is marked with a small square at the top right corner, and the top left angle is labeled 45 degrees. The hypotenuse is labeled as six times the square root of two. All sides are outlined in bold black lines.